Mikuláš Zindulka

Research

I'm interested in both algebraic and analytic number theory. My research interests include:

• Hurwitz class numbers, families of elliptic curves, and applications of modular forms in number theory
• Arithmetics of number fields
• Theory of partitions
• Questions related to Artin's conjecture for primitive roots
• Lattice models in combinatorics

Contact

mikulas.zindulka@matfyz.cuni.cz

Papers

Counting principal ideals of small norm in the simplest cubic fields, preprint on arXiv, January 2025

Totally positive elements with m partitions exist in almost all real quadratic fields, preprint on arXiv, September 2024

(with O. Chwiedziuk, M. Doležálek, S. Hlavinková, E. Pěchoučková, Z. Pezlar, O. Prakash, and A. Růžičková) No proper generalized quadratic forms are universal over quadratic fields, preprint on arXiv, September 2024

Sums of Hurwitz class numbers, CM modular forms, and primes of the form x^2+ny^2, preprint on arXiv, May 2024

(with O. Chwiedziuk, M. Doležálek, E. Pěchoučková, Z. Pezlar, O. Prakash, G. Romeo, and A. Růžičková) Representing rational integers by generalized quadratic forms over quadratic fields, preprint on arXiv, March 2024

(with M. Doležálek, M. Raška, E. Sgallová, and E. N. Stucky) The Six-Vertex Model with a Non-Standard Boundary Condition, preprint on arXiv, October 2023

(with D. Stern) Partitions in real quadratic fields, Mathematische Nachrichten, Vol. 298, February 2025

(with V. Kala) Partitions into powers of an algebraic number, The Ramanujan Journal, Vol. 64, April 2024

(with M. Tinková and E. Waxman) Artin Twin Primes, Journal of Number Theory, Vol. 245, April 2023